He can buy 14 lemon heads
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To find increasing and decreasing intervals we take derivative
Now we set the derivative =0 and solve for x
sinx + cosx =0
divide whole equation by cos x

tanx +1 =0
tanx = 1
and
Now we pick a number between 0 to 
Lets pick 
Plug it into the derivative
= 4.810 is positive
So the graph of f(x) is increasing on the interval [0,
)
Now we pick a number between
to 2pi
Lets pick 
Plug it into the derivative
= 116 is positive
So the graph of f(x) is increasing on the interval 
Increasing interval is 
Decreasing interval is 
(b)
The graph of f(x) increases and reaches a local maximum at 
The graph of f(x) decreases and reaches a local minimum at 
(c)
f(0) = 0



Here global maximum at 
Here global minimum at 
70,000,000 + 00,000,000 + 0,000,000 + 000,000 + 00,000 + 0,000 + 000 + 00 + 0
Answer:
circumference of the cake board = 109.9 cm
Step-by-step explanation:
diameter of cake = 30cm
diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm
radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm
radius of cake board = 17.5 cm
circumference of a circle = 2 × π × r (where π = 3.14)
circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm
Therefore the circumference of the cake board = 109.9 cm
Answer:
j = 21 and n = 14
Step-by-step explanation:
we have the equations:
6j + n/3 = 134
j/3 + n = 31
54j + 3n = 1206
j + 3n = 93
53j = 1113
j = 21
(21)/3 + n = 31
7 + n = 31
n = 14